414829 has 8 divisors (see below), whose sum is σ = 432000. Its totient is φ = 398112.

The previous prime is 414809. The next prime is 414833. The reversal of 414829 is 928414.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414829 - 2¹⁵ = 382061 is a prime.

It is a Duffinian number.

414829 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 414797 and 414806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414809) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4617 + ... + 4705.

It is an arithmetic number, because the mean of its divisors is an integer number (54000).

2⁴¹⁴⁸²⁹ is an apocalyptic number.

It is an amenable number.

414829 is a deficient number, since it is larger than the sum of its proper divisors (17171).

414829 is an equidigital number, since it uses as much as digits as its factorization.

414829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227.

The product of its digits is 2304, while the sum is 28.

The square root of 414829 is about 644.0722009216. The cubic root of 414829 is about 74.5801129105.

It can be divided in two parts, 414 and 829, that multiplied together give a triangular number (343206 = T₈₂₈).

The spelling of 414829 in words is "four hundred fourteen thousand, eight hundred twenty-nine".